421892352 has 324 divisors, whose sum is σ = 1467651276. Its totient is φ = 116121600.

The previous prime is 421892347. The next prime is 421892353. The reversal of 421892352 is 253298124.

It is a happy number.

421892352 is a `hidden beast` number, since 4 + 218 + 92 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 392990976 + 28901376 = 19824^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (421892353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4177102 + ... + 4177202.

Almost surely, 2^421892352 is an apocalyptic number.

421892352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421892352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733825638).

421892352 is an abundant number, since it is smaller than the sum of its proper divisors (1045758924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421892352 is a wasteful number, since it uses less digits than its factorization.

421892352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 421892352 is about 20540.0183057367. The cubic root of 421892352 is about 750.0102825257.

The spelling of 421892352 in words is "four hundred twenty-one million, eight hundred ninety-two thousand, three hundred fifty-two".